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10522144740 = 2235473731257
BaseRepresentation
bin10011100110010101…
…10010111111100100
31000011022021100001110
421303022302333210
5133022132112430
64500034025020
7521514516552
oct116312627744
930138240043
1010522144740
11450a527098
122057a18170
13cb8c26c63
1471b640bd2
15418b4c7b0
hex2732b2fe4

10522144740 has 48 divisors (see below), whose sum is σ = 30088864512. Its totient is φ = 2746204416.

The previous prime is 10522144739. The next prime is 10522144819. The reversal of 10522144740 is 4744122501.

10522144740 = T48351 + T48352 + ... + T48359.

It is a super-2 number, since 2×105221447402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10522144698 and 10522144707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1862809 + ... + 1868448.

It is an arithmetic number, because the mean of its divisors is an integer number (626851344).

Almost surely, 210522144740 is an apocalyptic number.

10522144740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10522144740 is an abundant number, since it is smaller than the sum of its proper divisors (19566719772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10522144740 is a wasteful number, since it uses less digits than its factorization.

10522144740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3731316 (or 3731314 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The spelling of 10522144740 in words is "ten billion, five hundred twenty-two million, one hundred forty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 3731257 7462514 11193771 14925028 18656285 22387542 37312570 44775084 55968855 74625140 111937710 175369079 223875420 350738158 526107237 701476316 876845395 1052214474 1753690790 2104428948 2630536185 3507381580 5261072370 10522144740